Search Results - "Raška, Martin"
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1
Binary Codes that do not Preserve Primitivity
Published in Journal of automated reasoning (01-09-2023)“…A set of words X is not primitivity-preserving if there is a primitive list of length at least two of elements from X whose concatenation is imprimitive. Here,…”
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Pythagoras numbers of orders in biquadratic fields
Published in Expositiones mathematicae (01-12-2022)“…We examine the Pythagoras number P(OK) of the ring of integers OK in a totally real biquadratic number field K. We show that the known upper bound 7 is…”
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Minimal Detectable Displacement Achievable by GPS-RTK in CZEPOS Network
Published in Geoinformatics (Faculty of Civil Engineering, Czech Technical University in Prague) (27-06-2015)“…In this paper we have made a brief study of RTK precision to estimate possibilities of network RTK using CZEPOS for purposes of geotechnic monitoring of…”
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Relations between Biotic and Abiotic Diversity in Abandoned Basalt Quarry and Its Relevance for Ecological Restoration (Radobýl Hill, Northern Czechia)
Published in Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis (2017)“…The ecological value of abandoned quarries has gained increasing scientific attention in the last few decades, resulting in a paradigm shift in restoration…”
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Representing multiples of m in real quadratic fields as sums of squares
Published in Journal of number theory (01-03-2023)“…We study real quadratic fields Q(D) such that, for a given rational integer m, all m-multiples of totally positive integers are sums of squares. We prove quite…”
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Differential evolution of rockwall and talus cones in abandoned basalt quarries and its implications for restoration management: case study from the Radobyl Hill, N Czech Republic
Published in International journal of mining, reclamation and environment (01-12-2011)“…The reclamation and restoration of quarries have been well studied in the past decades. Most studies focused on the bio-treatment and restoration of land…”
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Representing multiples of $m$ in real quadratic fields as sums of squares
Published 24-05-2021“…We study real quadratic fields $\mathbb{Q}(\sqrt{D})$ such that, for a given rational integer $m$, all $m$-multiples of totally positive integers are sums of…”
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Producing symmetrical facts for lists induced by the list reversal mapping in Isabelle/HOL
Published 23-04-2021“…Many facts possess symmetrical counterparts that often require a separate formal proof, depending on the nature of the involved symmetry. We introduce a method…”
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Pythagoras numbers of orders in biquadratic fields
Published 07-12-2022“…Expo. Math. 40, 1181--1228 (2022) We examine the Pythagoras number $\mathcal{P}(\mathcal{O}_K)$ of the ring of integers $\mathcal{O}_K$ in a totally real…”
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10
Binary codes that do not preserve primitivity
Published 21-03-2022“…A code $X$ is not primitivity preserving if there is a primitive list ${\mathbf w} \in {\tt lists} X$ whose concatenation is imprimitive. We formalize a full…”
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11
The Six-Vertex Model with a Non-Standard Boundary Condition
Published 08-10-2023“…We consider the enumeration of states in the Brubaker-Bump-Friedberg six-vertex model, whose boundary conditions are determined by an integer partition. In…”
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